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Relation between two series

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#sequences-and-series #power-series #arithmetic-progressions #geometric-series #geometric-progressions
211
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Find the ratio $p:q:r$, if $p,q,r$ are in H.P, and their squares are in A.P.

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#algebra-precalculus #arithmetic-progressions
280
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Arithmetic sequence questions

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#proof-verification #arithmetic-progressions
23
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Expression for the sum of another bounded series with arithmetic and geometric components

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#sequences-and-series #arithmetic-progressions #geometric-series
184
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Prouhet-Thue-Morse sequence and Arithmetic Progressions

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#sequences-and-series #number-theory #arithmetic-progressions
78
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What's a compact way to express the product of terms in arithmetic progression?

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#factorial #closed-form #products #arithmetic-progressions
455
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Find the ratio of twelfth terms if the sum of first n terms of two AP's are $3n+8,7n+15$

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#sequences-and-series #arithmetic-progressions
43
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Dependence of $nq-p^2$ on $a$ if $p=\sum_{i=0}^{n-1}(a+i)$, $q=\sum_{i=0}^{n-1}(a+i)^2$

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#sequences-and-series #arithmetic-progressions
64
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Is it true that $\sum_{i=1}^{n-1} \frac{1}{f(i)*f(i+1)}=\frac{n-1}{f(1)*f(n)}$ if $f(i)$,$f(i+1)$,$f(i+2)$..... forms an arithmetic progression?

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#summation #arithmetic-progressions #binary-operations
52
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Arithmetic progression formula

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#arithmetic-progressions
52
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Arithmetic sequences. Writing the general term differently

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#sequences-and-series #arithmetic-progressions
72
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How to find arithmetic mean of number

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#sequences-and-series #means #arithmetic-progressions #mathematica #geometric-progressions
435
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What is the sum of series??

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#sequences-and-series #arithmetic-progressions #mathematica #geometric-progressions
219
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If the AM and GM between two numbers are in the ratio $m:n$, then what is the ratio between the two numbers?

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#algebra-precalculus #quadratics #ratio #arithmetic-progressions #geometric-progressions
128
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Finding the sum $\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+\cdots$

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#sequences-and-series #arithmetic-progressions #geometric-progressions

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